File:Normal approximation to binomial.svg

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Normal_approximation_to_binomial.svg‎ (SVG file, nominally 600 × 480 pixels, file size: 18 KB)

[edit] Summary

svg version of the same png Normal_approximation_to_binomial.png file. Original author: User:MarkSweep Created with gnuplot.

gnuplot source under GPL:

# normal (Gaussian) distribution
_ln_dnorm(x, m, s) = -0.5 * log(2*pi) - log(s) - 0.5*((x-m)*1.0/s)**2
dnorm(x, mean, sd) = exp(_ln_dnorm(x, mean, sd))
pnorm(x, mean, sd) = norm((x-mean) * 1.0/sd)

# binomial distribution
_ln_binom(x, n, p) =\
 lgamma(n+1) - lgamma(x+1) - lgamma(n-x+1) + x*log(p) + (n-x)*log(1-p)
dbinom(x, size, prob) = (x==int(x))? exp(_ln_binom(floor(x), size,  prob)) : 0
pbinom(x, size, prob) =\
 (x<0)? 0 : (x<size)? ibeta(size-floor(x), floor(x)+1, 1-prob) : 1

set terminal svg
set output "Normal approximation to binomial.svg"

set key 22,0.13

n = 48
p = 0.25
xmax = 25

set samples 50*xmax+1

plot [0:xmax] \
    dbinom(x, n, p) with impulses title "Binom(48, 0.25)", \
    dnorm(x, n*p, sqrt(n*p*(1-p))) linetype 3 title "Norm(12, 3)"

[edit] Licensing

GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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Creative Commons license
Creative Commons Attribution Creative Commons Share Alike		 This file is licensed under the Creative Commons Attribution ShareAlike 3.0 License. In short: you are free to share and make derivative works of the file under the conditions that you appropriately attribute it, and that you distribute it only under a license identical to this one. Official license

This licensing tag was added to this file as part of the GFDL licensing update.

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Date/TimeThumbnailDimensionsUserComment
current14:56, 21 November 2006Thumbnail for version as of 14:56, 21 November 2006600×480 (18 KB)Vasiliev Mihail (talk | contribs) (svg version of the same png file. Created with gnuplot. )

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